Post by Sylvia ElsePost by RichDPost by Joe SnodHow many railroad cars of gravel would it take to fill the lower 9th
ward to sea level?
During job interviews, Microsoft used to present brain
twisters to candidates (maybe still do), looking for
ingenuity, resourcefulness, etc.
One item: "How would you move Mt. Fuji?"
You are an interviewee. How do you answer?
--
Rich
I'd tell it a very sad story.
Sylvia.
At first I thought it would be an impossible thing to do to, but from
a google search, I found this that describes the details of moving Mt.
Fuji to Mojave, California.
http://w-uh.com/articles/030917b-really_moving_Mou.html
"Okay, we want to move Mount Fuji... So we have to make some
assumptions. First, we have to define what "moving" means. So let's
say we are going to move the entire mountain to Mojave, California.
Hey, it's desert, there's a lot of room out there.
First let's consider the overall technique. We need a bunch of
dynamite to blow up the rock. Then we need bulldozers to pick up the
rock and put it into trucks. We use the trucks to carry all the rock
to the nearest airport, where we have a fleet of 747 cargo jets
waiting (and loading equipment). From there we fly the rock to
Mojave, unload it from the planes, transfer it back into trucks, move
it into the desert, and dump it. And we'll need bulldozers to push
the rock back into shape.
There is a philosophical question as to whether, having moved all the
rock and reshaped it, we still have Mount Fuji. We certainly have the
parts to Mount Fuji, but is the mountain still the mountain after it
has been moved in this way? I'll leave the philosophy alone (for
once!) and just say we stipulate up front that moving the parts is
equivalent to moving the mountain.
Next we have to figure out how big the mountain is... Well, I Googled
and figured out it is 3,776 meters high (about 13,000 ft.). I might
have guessed about 12,000 ft. without Google because that's about the
height of Mt. Whitney (the tallest peak in the California Sierra
Nevada range). The shape of this mountain is nearly a perfect cone,
with the width of the base about three times the height. As you know,
the volume of a cone is given by:
(base area * height) / 3 = (πr2 * height) / 3
So this means the volume of Mount Fuji is approximately:
(π * 18,000 * 18,000 * 12,000) / 3 ≈ 12 x 1012 ft3
That's a lot of rock. Next let's figure out how much this might
weigh. Imagine a rock the size of a cubic foot. Could you pick it
up? I'd say barely. It probably would weigh about 100 lbs. So that
means we have a lot of heavy rock to move:
12 x 1012 x 100 lbs = 12 x 1014 lbs = 6 x 109 tons
Cool. Okay, so how many 747s would we need? A 747 can carry about
500 people with all their luggage. The people weigh about 150 lbs on
average, and their luggage probably weighs about the same, so we're
talking 500 x 300 = 150,000 lbs, or about 75 tons. Let's say for
cargo purposes we could carry 100 tons. Would that be the limiting
factor, or would volume? Well, if each ton is about 20 cubic feet,
then we're talking about 2,000 cubic feet. That's 10 ft x 10 ft x 20
ft, so clearly the size of the rock would not matter. (Actually since
the rock would be broken up it would take more space, but not that
much more.) We would therefore need 6 x 107 = 60M plane flights. If
we had a fleet of 1,000 planes flying in parallel, and each plane made
two flights per day, it would take 30,000 days or around 100 years.
That's a long time, but this is a big project. Many of the great
European cathedrals took over 100 years to build, as did the Great
Wall in China and the Great Pyramid in Egypt...
What about trucks? Well, I'd guess a really big dump truck could haul
25 tons. (That would be about 5,000 cubic feet, or 10 ft x 10 ft x 50
ft, roughly speaking.) So we'd need four times as many trucks as
planes. I don't know how close the nearest airport is to Mount Fuji,
but let's assume we could make two trips from the mountain to the
airport each day (same as plane flights), so we'd need 4,000 trucks.
No problem. Oh yeah and we'd need about the same number of trucks on
the other end, too.
Now, about those bulldozers. Well, let's say it takes one bulldozer
to load one truck. We assumed the trucks make two trips per day, so
now let's assume a trip is really four hours of loading, four hours of
driving, and four hours of unloading. That would give a bulldozer
four hours to do the loading, and that seems reasonable. So pencil in
4,000 bulldozers. I'm sure there would be some traffic problems with
that many bulldozers roaming around the mountain, but we could deal
with that. No worse than the Ventura Freeway at rush hour :) And as
with the trucks we'd need the same number of bulldozers to rebuild the
mountain in Mojave.
So, that's how I'd move Mount Fuji into the Mojave desert. Give me
8,000 bulldozers, 8,000 dump trucks, 1,000 cargo jets, and (of course)
the people to man them, and it would take me about 100 years. No
problem. "
-Bill